Explanation:
Let's solve each equation step by step. We are solving for y or z in each case. The goal is to isolate the variable (y or z) on one side of the equation.
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1. 11 + y · 5 = 61
First, subtract 11 from both sides:
y · 5 = 61 - 11 = 50
Now divide both sides by 5:
y = 50 ÷ 5 = 10
→ y = 10
2. 12 · y - 4 = 116
Add 4 to both sides:
12 · y = 116 + 4 = 120
Divide both sides by 12:
y = 120 ÷ 12 = 10
→ y = 10
3. 8 · z - 12 = 4
Add 12 to both sides:
8 · z = 4 + 12 = 16
Divide both sides by 8:
z = 16 ÷ 8 = 2
→ z = 2
4. 4 + y · 1 = 10
Simplify: 4 + y = 10
Subtract 4 from both sides:
y = 10 - 4 = 6
→ y = 6
5. 4 + y · 7 = 23
Subtract 4 from both sides:
y · 7 = 23 - 4 = 19
Divide both sides by 7:
y = 19 ÷ 7 ≈ 2.714
→ y = 19/7 or about 2.71
6. 6 + 13 · y = 175
Subtract 6 from both sides:
13 · y = 175 - 6 = 169
Divide both sides by 13:
y = 169 ÷ 13 = 13
→ y = 13
7. 2 + 15 · z = 92
Subtract 2 from both sides:
15 · z = 92 - 2 = 90
Divide both sides by 15:
z = 90 ÷ 15 = 6
→ z = 6
8. 13 + z · 9 = 49
Subtract 13 from both sides:
z · 9 = 49 - 13 = 36
Divide both sides by 9:
z = 36 ÷ 9 = 4
→ z = 4
9. 10 + z · 15 = 100
Subtract 10 from both sides:
z · 15 = 100 - 10 = 90
Divide both sides by 15:
z = 90 ÷ 15 = 6
→ z = 6
10. 10 · y + 2 = 22
Subtract 2 from both sides:
10 · y = 22 - 2 = 20
Divide both sides by 10:
y = 20 ÷ 10 = 2
→ y = 2
Final Answer:
1. y = 10
2. y = 10
3. z = 2
4. y = 6
5. y = 19/7 or approximately 2.71
6. y = 13
7. z = 6
8. z = 4
9. z = 6
10. y = 2
Parent Tip: Review the logic above to help your child master the concept of 2 step equation worksheet.
